AES-256 is believed to be quantum-resistant. The only known quantum attack on AES-256 is utilizing Grover's algorithm, which is an universal approach.
As for assymetric crypto, the ones we have now are susceptible to quantum attacks. There are a bunch of proposals for quantum-proof algorithms but nothing officially standardized yet. There is a NIST competition going on right now that is trying to find a new suite of assymetric cryptographic algorithms [1]. You can find an awesome talk on the topic here [2].
If quantum computers are possible, we should switch to quantum proof algorithms now rather than later, because then we'd reduce the traffic that can be decrypted at a later point in time. It's quite dangerous right now considering that basically everything is protected by quantum-non-resistant ciphers.
As for assymetric crypto, the ones we have now are susceptible to quantum attacks. There are a bunch of proposals for quantum-proof algorithms but nothing officially standardized yet. There is a NIST competition going on right now that is trying to find a new suite of assymetric cryptographic algorithms [1]. You can find an awesome talk on the topic here [2].
If quantum computers are possible, we should switch to quantum proof algorithms now rather than later, because then we'd reduce the traffic that can be decrypted at a later point in time. It's quite dangerous right now considering that basically everything is protected by quantum-non-resistant ciphers.
[1]: https://csrc.nist.gov/Projects/Post-Quantum-Cryptography
[2]: https://www.youtube.com/watch?v=ZCmnQR3_qWg